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Limit

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AP Calculus AB/BC

Definition

The limit of a function is the value that the function approaches as the input approaches a certain value or infinity. It represents the behavior of the function near a specific point.

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Practice Questions (20+)

What does a limit represent in calculus?
For the function f(x) = x + 1, what is the limit of f(x) as x approaches 4?
What does the limit of a function represent as x approaches infinity?
If the limit of a function as x approaches a certain value exists, does it guarantee that the function is defined at that point?
What is the limit of the function f(x) = 2x - 3 as x approaches infinity?
If the limit of a function as x approaches a certain value is equal to the value of the function at that point, what can be concluded?
What does it mean if the limit of a function does not exist?
Which statement accurately describes the behavior of a function with a limit of 0 as x approaches infinity?
What is the limit of the function f(x) = 3x^2 - 2x + 1 as x approaches 2?
Which of the following statements is true regarding the limit of a constant function?
If the limit of a function as x approaches a certain value is L, and the limit as x approaches that value from the opposite side is M, what can be concluded?
What is the limit of the function f(x) = sin(x) / x as x approaches 0?
What is the limit of the function f(x) = 1/x as x approaches infinity?
Consider the graph of a function f. As x approaches a certain value from both sides, the y-values converge to the same value. What can be concluded about the limit of f as x approaches that value?
For a function f, as x approaches a certain value from both sides, the y-values diverge and do not approach the same value. What can be concluded about the limit of f as x approaches that value?
If the y-values from the left side and the right side of a specific x-value are different on a graph, what can be concluded about the limit at that x-value?
On a graph, the function f(x) approaches positive infinity as x approaches a certain value. What can be concluded about the limit of f as x approaches that value?
When estimating a limit value from a graph, if the y-values from the left and right sides approach different infinities (positive and negative), what can be concluded about the limit?
For a function f, as x approaches a certain value, the y-values oscillate between two distinct values. What can be concluded about the limit of f as x approaches that value?
When estimating a limit value from a graph, if the y-values from the left and right sides approach different finite values, what can be concluded about the limit?

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Limit

from class:

AP Calculus AB/BC

Definition

"Limit" also found in:

Subjects (30)

Practice Questions (20+)

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study guides for every class

that actually explain what's on your next test

Limit

from class:

AP Calculus AB/BC

Definition

Related terms

"Limit" also found in:

Subjects (30)

Practice Questions (20+)

© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.

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